-#This file was created by <mike> Sun Jul 25 23:59:27 1999
-#LyX 1.0 (C) 1995-1999 Matthias Ettrich and the LyX Team
-\lyxformat 2.15
+#LyX 1.3 created this file. For more info see http://www.lyx.org/
+\lyxformat 221
\textclass aastex
\begin_preamble
\newcommand{\vdag}{(v)^\dagger}
\fontscheme default
\graphics default
\paperfontsize default
-\spacing single
+\spacing single
\papersize Default
\paperpackage a4
\use_geometry 0
\use_amsmath 0
+\use_natbib 0
+\use_numerical_citations 0
\paperorientation portrait
\secnumdepth 3
\tocdepth 3
\layout Title
-Collapsed Cores in Globular Clusters, Gauge-Boson Couplings, and AASTeX
-\latex latex
-
-\latex default
+Collapsed Cores in Globular Clusters, Gauge-Boson Couplings, and AASTeX
Examples
\layout Author
S.
Djorgovski
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
altaffilmark{1,2,3}
-\latex default
+\end_inset
+
and Ivan R.
King
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
altaffilmark{1}
+\end_inset
+
+
\layout Affiliation
Astronomy Department, University of California, Berkeley, CA 94720
C.
D.
Biemesderfer
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
altaffilmark{4,5}
+\end_inset
+
+
\layout Affiliation
National Optical Astronomy Observatories, Tucson, AZ 85719
R.
J.
Hanisch
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
altaffilmark{5}
+\end_inset
+
+
\layout Affiliation
Space Telescope Science Institute, Baltimore, MD 21218
\layout Standard
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
altaffiltext{1}{Visiting Astronomer, Cerro Tololo Inter-American Observatory.
under contract to the National Science Foundation.}
\layout Standard
-
-\latex latex
-
\backslash
altaffiltext{2}{Society of Fellows, Harvard University.}
\layout Standard
-
-\latex latex
-
\backslash
altaffiltext{3}{present address: Center for Astrophysics, 60 Garden Street,
Cambridge, MA 02138}
\layout Standard
-
-\latex latex
-
\backslash
altaffiltext{4}{Visiting Programmer, Space Telescope Science Institute}
\layout Standard
-
-\latex latex
-
\backslash
altaffiltext{5}{Patron, Alonso's Bar and Grill}
+\end_inset
+
+
\layout Abstract
This is a preliminary report on surface photometry of the major fraction
A focal problem today in the dynamics of globular clusters is core collapse.
It has been predicted by theory for decades
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
citep{hen61,lyn68,spi85}
-\latex default
+\end_inset
+
, but observation has been less alert to the phenomenon.
For many years the central brightness peak in M15
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
citep{kin75,new78}
-\latex default
+\end_inset
+
seemed a unique anomaly.
Then
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
citet{aur82}
-\latex default
+\end_inset
+
suggested a central peak in NGC 6397, and a limited photographic survey
of ours
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
citep[Paper I]{djo84}
-\latex default
+\end_inset
+
found three more cases, including NGC 6624, whose sharp center had often
been remarked on
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
citep{can78}
-\latex default
+\end_inset
+
.
\layout Section
Since the latter are easily studied by other means, we augmented our own
CCD profiles by collecting from the literature a number of star-count profiles
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
citep{kin68,pet76,har84,ort85}
-\latex default
+\end_inset
+
, as well as photoelectric profiles
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
citep{kin66,kin75}
-\latex default
+\end_inset
+
and electronographic profiles
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
citep{kro84}
-\latex default
+\end_inset
+
.
In a few cases we judged normality by eye estimates on one of the Sky Surveys.
\layout Section
It has been realized that helicity amplitudes provide a convenient means
for Feynman diagram
-\begin_float footnote
+\begin_inset Foot
+collapsed true
+
\layout Standard
Footnotes can be inserted like this.
-\end_float
+\end_inset
+
evaluations.
These amplitude-level techniques are particularly convenient for calculations
involving many Feynman diagrams, where the usual trace techniques for the
\end_inset
collisions can be expressed in terms of fermion strings of the form
-\begin_inset Formula
-\begin{equation}
+\begin_inset Formula \begin{equation}
\bar{v}(p_{2},\sigma _{2})P_{-\tau }\hat{a}_{1}\hat{a}_{2}\cdots \hat{a}_{n}u(p_{1},\sigma _{1}),
\end{equation}
\end_inset
and the unit matrix 1 as
-\begin_inset Formula
-\begin{eqnarray}
+\begin_inset Formula \begin{eqnarray}
\gamma ^{\mu } & = & \left( \begin{array}{cc}
0 & \sigma ^{\mu }_{+}\\
\sigma ^{\mu }_{-} & 0
\end_inset
giving
-\begin_inset Formula
-\begin{equation}
+\begin_inset Formula \begin{equation}
\hat{a}=\left( \begin{array}{cc}
0 & (\hat{a})_{+}\\
(\hat{a})_{-} & 0
\end_inset
The spinors are expressed in terms of two-component Weyl spinors as
-\begin_inset Formula
-\begin{equation}
+\begin_inset Formula \begin{equation}
u=\left( \begin{array}{c}
(u)_{-}\\
(u)_{+}
\layout MathLetters
-\begin_inset Formula
-\begin{eqnarray}
+\begin_inset Formula \begin{eqnarray}
u(p,\lambda )_{\pm } & = & (E\pm \lambda |{\textbf {p}}|)^{1/2}\chi _{\lambda }(p),\\
v(p,\lambda )_{\pm } & = & \pm \lambda (E\mp \lambda |{\textbf {p}}|)^{1/2}\chi _{-\lambda }(p)
\end{eqnarray}
Consider a task that computes profile parameters for a modified Lorentzian
of the form
-\begin_inset Formula
-\begin{equation}
+\begin_inset Formula \begin{equation}
I=\frac{1}{1+d_{1}^{P(1+d_{2})}}
\end{equation}
\end_inset
where
-\begin_inset Formula
-\[
+\begin_inset Formula \[
d_{1}=\sqrt{\left( \begin{array}{c}
\frac{x_{1}}{R_{maj}}
\end{array}\right) ^{2}+\left( \begin{array}{c}
\end_inset
-\begin_inset Formula
-\[
+\begin_inset Formula \[
d_{2}=\sqrt{\left( \begin{array}{c}
\frac{x_{1}}{PR_{maj}}
\end{array}\right) ^{2}+\left( \begin{array}{c}
\end_inset
-\begin_inset Formula
-\[
+\begin_inset Formula \[
x_{1}=(x-x_{0})\cos \Theta +(y-y_{0})\sin \Theta \]
\end_inset
-\begin_inset Formula
-\[
+\begin_inset Formula \[
y_{1}=-(x-x_{0})\sin \Theta +(y-y_{0})\cos \Theta \]
\end_inset
\end_inset
axis.
- Results of this task are shown in table
-\protected_separator
+ Results of this task are shown in table\SpecialChar ~
\begin_inset LatexCommand \ref{tbl-2}
\end_inset
, but the assumption is that the alternate results should be less than 90
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
degr
\backslash
-\latex default
+\end_inset
+
out of phase with previous values.
We have no observations of
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
ion{Ca}{2}
-\latex default
+\end_inset
+
.
Roughly
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
slantfrac{4}{5}
-\latex default
+\end_inset
+
of the electronically submitted abstracts for AAS meetings are error-free.
\layout Acknowledgements
Han, and R.
J.
N.
- Phillips for doing the math in section
-\protected_separator
+ Phillips for doing the math in section\SpecialChar ~
\begin_inset LatexCommand \ref{bozomath}
.
More information on the AASTeX macros package are available at
-\latex latex
\begin_inset LatexCommand \url{http://www.aas.org/publications/aastex}
\end_inset
-\latex default
or the
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
anchor{ftp://www.aas.org/pubs/}{AAS ftp site}
-\latex default
+\end_inset
+
.
\layout Appendix
Consider once again a task that computes profile parameters for a modified
Lorentzian of the form
-\begin_inset Formula
-\begin{equation}
+\begin_inset Formula \begin{equation}
I=\frac{1}{1+d_{1}^{P(1+d_{2})}}
\end{equation}
\layout MathLetters
-\begin_inset Formula
-\[
+\begin_inset Formula \[
d_{1}=\frac{3}{4}\sqrt{\left( \begin{array}{c}
\frac{x_{1}}{R_{maj}}
\end{array}\right) ^{2}+\left( \begin{array}{c}
\end_inset
-\begin_inset Formula
-\begin{equation}
+\begin_inset Formula \begin{equation}
d_{2}=\case {3}{4}\sqrt{\left( \begin{array}{c}
\frac{x_{1}}{PR_{maj}}
\end{array}\right) ^{2}+\left( \begin{array}{c}
\end_inset
-\begin_inset Formula
-\begin{eqnarray}
+\begin_inset Formula \begin{eqnarray}
x_{1} & = & (x-x_{0})\cos \Theta +(y-y_{0})\sin \Theta \\
y_{1} & = & -(x-x_{0})\sin \Theta +(y-y_{0})\cos \Theta
\end{eqnarray}
For completeness, here is one last equation.
-\begin_inset Formula
-\begin{equation}
+\begin_inset Formula \begin{equation}
e=mc^{2}
\end{equation}
Auri\i \`{e}
re, M.
1982,
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
aap
-\latex default
+\end_inset
+
, 109, 301
\layout References
\bibitem [Canizares et al.(1978)]{can78}
A., Liller, W., and McClintock, J.
E.
1978,
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
apj
-\latex default
+\end_inset
+
, 224, 39
\layout References
\bibitem [Djorgovski and King(1984)]{djo84}
Djorgovski, S., and King, I.
R.
1984,
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
apjl
-\latex default
+\end_inset
+
, 277, L49
\layout References
\bibitem [Hagiwara and Zeppenfeld(1986)]{hag86}
Harris, W.
E., and van den Bergh, S.
1984,
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
aj
-\latex default
+\end_inset
+
, 89, 1816
\layout References
\bibitem [H\`enon(1961)]{hen61}
King, I.
R.
1966,
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
aj
-\latex default
+\end_inset
+
, 71, 276
\layout References
\bibitem [King(1975)]{kin75}
M., and White, R.
E.
1968,
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
aj
-\latex default
+\end_inset
+
, 73, 456
\layout References
\bibitem [Kron et al.(1984)]{kro84}
V., and Wasserman, L.
H.
1984,
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
pasp
-\latex default
+\end_inset
+
, 96, 198
\layout References
\bibitem [Lynden-Bell and Wood(1968)]{lyn68}
Lynden-Bell, D., and Wood, R.
1968,
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
mnras
-\latex default
+\end_inset
+
, 138, 495
\layout References
\bibitem [Newell and O'Neil(1978)]{new78}
B., and O'Neil, E.
J.
1978,
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
apjs
-\latex default
+\end_inset
+
, 37, 27
\layout References
\bibitem [Ortolani et al.(1985)]{ort85}
Ortolani, S., Rosino, L., and Sandage, A.
1985,
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
aj
-\latex default
+\end_inset
+
, 90, 473
\layout References
\bibitem [Peterson(1976)]{pet76}
Peterson, C.
J.
1976,
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
aj
-\latex default
+\end_inset
+
, 81, 617
\layout References
\bibitem [Spitzer(1985)]{spi85}
\layout Standard
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
clearpage
+\end_inset
+
+
\layout FigCaption
\layout Standard
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
clearpage
+\end_inset
+
+
\layout Standard
-\begin_float tab
+\begin_inset Float table
+wide false
+collapsed false
+
\layout Caption
\added_space_bottom medskip
Terribly relevant tabular information.
\layout Standard
-\LyXTable
-multicol5
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+
+
+\begin_inset Tabular
+<lyxtabular version="3" rows="7" columns="13">
+<features endhead="-1" endfirsthead="-1" endfoot="-1" endlastfoot="-1">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="right" valignment="top" width="0pt">
+<column alignment="right" valignment="top" width="0pt">
+<column alignment="right" valignment="top" width="0pt">
+<column alignment="right" valignment="top" width="0pt">
+<column alignment="right" valignment="top" width="0pt">
+<column alignment="right" valignment="top" width="0pt">
+<column alignment="right" valignment="top" width="0pt">
+<column alignment="right" valignment="top" width="0pt">
+<column alignment="right" valignment="top" width="0pt">
+<column alignment="right" valignment="top" width="0pt">
+<column alignment="right" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
Star
-\newline
+\end_inset
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+<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
Height
-\newline
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+</cell>
+<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
\begin_inset Formula \( d_{x} \)
\end_inset
-\newline
+\end_inset
+</cell>
+<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
\begin_inset Formula \( d_{y} \)
\end_inset
-\newline
+\end_inset
+</cell>
+<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
\begin_inset Formula \( n \)
\end_inset
-\newline
+\end_inset
+</cell>
+<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
\begin_inset Formula \( \chi ^{2} \)
\end_inset
-\newline
+\end_inset
+</cell>
+<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
\begin_inset Formula \( R_{maj} \)
\end_inset
-\newline
+\end_inset
+</cell>
+<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
\begin_inset Formula \( R_{min} \)
\end_inset
-\newline
+\end_inset
+</cell>
+<cell multicolumn="1" alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
\begin_inset Formula \( P \)
\end_inset
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
tablenotemark{a}
-\latex default
+\end_inset
+
+
+\end_inset
+</cell>
+<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
-\newline
\begin_inset Formula \( PR_{maj} \)
\end_inset
-\newline
+\end_inset
+</cell>
+<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
\begin_inset Formula \( PR_{min} \)
\end_inset
-\newline
+\end_inset
+</cell>
+<cell multicolumn="1" alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
\begin_inset Formula \( \Theta \)
\end_inset
-\latex latex
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
tablenotemark{b}
-\latex default
+\end_inset
+
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\layout Standard
-\newline
Ref.
-\newline
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
-\latex latex
+\layout Standard
+
+
+\begin_inset ERT
+status Collapsed
+
+\layout Standard
\backslash
tableline
\backslash
tableline
-\latex default
+\end_inset
+
1
-\newline
+\end_inset
+</cell>
+<cell alignment="right" valignment="top" usebox="none">
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+
+\layout Standard
+
33472.5
-\newline
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+\begin_inset Text
+
+\layout Standard
+
-0.1
-\newline
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+<cell alignment="right" valignment="top" usebox="none">
+\begin_inset Text
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+\layout Standard
+
0.4
-\newline
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+
+\layout Standard
+
53
-\newline
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+\begin_inset Text
+
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+
27.4
-\newline
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+\begin_inset Text
+
+\layout Standard
+
2.065
-\newline
+\end_inset
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+\begin_inset Text
+
+\layout Standard
+
1.940
-\newline
+\end_inset
+</cell>
+<cell alignment="right" valignment="top" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
3.900
-\newline
+\end_inset
+</cell>
+<cell alignment="right" valignment="top" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
68.3
-\newline
+\end_inset
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+\begin_inset Text
+
+\layout Standard
+
116.2
-\newline
+\end_inset
+</cell>
+<cell alignment="right" valignment="top" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
-27.639
-\newline
+\end_inset
+</cell>
+<cell alignment="right" valignment="top" usebox="none">
+\begin_inset Text
+
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We can also attach a long-ish paragraph of explanatory material to a table.
1984; (23) Spite & Spite 1986; (24) Hobbs & Thorburn 1991; (25) Hobbs et
al.
1991; (26) Olsen 1983.
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projects / lyx.git / blobdiff